Fractional variational problems and particle in cell gyrokinetic simulations with fuzzy logic approach for tokamaks

In earlier Rastovic's papers [1] and [2], the effort was given to analyse the stochastic control of tokamak. In this paper, the deterministic control of tokamak turbulence is investigated via fractional variational calculus, particle in cell simulations, and fuzzy logic methods. Fractional integrals can be considered as approximations of integrals on fractals. The turbulent media could be of fractal structure and the corresponding equations should be changed to include the fractal features of media.